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Finding the Fourth Proportional to 488,561.70, 732,842.55 and 409,829.70

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Solution

The fourth proportional to 488,561.70, 732,842.55 and 409,829.70 is: 614,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,561.70 : 732,842.55 = 409,829.70 : x
  2. Step 2: Convert to fraction form
    488,561.70/732,842.55 = 409,829.70/x
  3. Step 3: Cross multiply
    488,561.70x = 732,842.55 × 409,829.70
  4. Step 4: Simplify right side
    488,561.70x = 300,340,642,413.74
  5. Step 5: Solve for x
    x = 300,340,642,413.74/488,561.70
  6. Step 6: Final answer
    x = 614,744.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.